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Finding the Fourth Proportional to 19,978.38, 29,985.97 and 10,124.64

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Solution

The fourth proportional to 19,978.38, 29,985.97 and 10,124.64 is: 15,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.38 : 29,985.97 = 10,124.64 : x
  2. Step 2: Convert to fraction form
    19,978.38/29,985.97 = 10,124.64/x
  3. Step 3: Cross multiply
    19,978.38x = 29,985.97 × 10,124.64
  4. Step 4: Simplify right side
    19,978.38x = 303,597,151.30
  5. Step 5: Solve for x
    x = 303,597,151.30/19,978.38
  6. Step 6: Final answer
    x = 15,196.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.